The fine structure of the pi-electron spectrum of semi-infinite carbot
ubulenes (cylindrical graphene tubes) is investigated. Together with c
losed short-diameter tubelenes, open nanotubes whose terminal fragment
s contain heteroatoms are studied. Algebraic equations are obtained fo
r the one-electron energy levels corresponding to wave functions local
ized on a terminal fragment. It is shown that Tamm energy levels, lyin
g in either the band gaps or the continuous spectrum (resonance states
), can exist in the systems studied. (C) 1996 American Institute of Ph
ysics.